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Finding the Fourth Proportional to 922.74, 1,375.31 and 870.85

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Solution

The fourth proportional to 922.74, 1,375.31 and 870.85 is: 1,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.74 : 1,375.31 = 870.85 : x
  2. Step 2: Convert to fraction form
    922.74/1,375.31 = 870.85/x
  3. Step 3: Cross multiply
    922.74x = 1,375.31 × 870.85
  4. Step 4: Simplify right side
    922.74x = 1,197,688.71
  5. Step 5: Solve for x
    x = 1,197,688.71/922.74
  6. Step 6: Final answer
    x = 1,297.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.